27260 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 10304.

The previous prime is 27259. The next prime is 27271. The reversal of 27260 is 6272.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27260.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁷²⁶⁰ is an apocalyptic number.

27260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

27260 is an abundant number, since it is smaller than the sum of its proper divisors (33220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27260 is a wasteful number, since it uses less digits than its factorization.

27260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 27260 is about 165.1060265405. The cubic root of 27260 is about 30.0959888401.

The spelling of 27260 in words is "twenty-seven thousand, two hundred sixty".